No strictly true. It is about whether you can have your single display treated as two (or more).
If your monitor does Picture In Picture (PIP), then it will allow you to feed a second input that will then scale down. Unfortunately picture in picture usually is not great because you don't get much control of the small picture, and you cant use it to direct input (i.e. mouse over is still on the main display, the PiP is just a non-interactive overlay).
The first few 4k monitors did require you to have 2 hdmi cables to feed them (some still do), and they were essentially two 1920x2160 panels. If you had/have an NVidia card (at the time, because AMD just couldn't run 4K initially) then it ran the display in a 2x1 surround setup, but you could in fact run this as 2 separate displays. This setup didn't require anything fancy (initially) because the dual HDMI ran via dual scalars (it may still do), but drivers have moved on since and the DID (Display ID) may cause the drivers to fight you trying this setup.
Some 4K displays will allow you to have multiple sources (i.e. multiple cables to a different input port) and it will split them into different display portions (Picture By Picture or PBP). When you set this via the OSD, then the monitor will report to Windows that it is 2 (or more) smaller displays, whether 2 1920x2160 displays, or 4 1920x1080 displays, or whatever options your monitor supports.
http://www.tomshardware.com/reviews/pla ... ,3981.html,
http://www.samsung.com/levant/consumer/ ... 8D590DS/ZN.
Not that any of this info will help you now, because you already have purchased your monitor, so you will be stuck with the features that it provides. As you haven't mentioned the model I cant google it to confirm whether it will support PBP (the preferable feature).